【摘要】 根据逆极限空间中极限跟踪性和弱Specification性的定义，引入双重逆极限空间中极限跟踪性和弱Specification性的概念，并研究了它们的动力学性质，得到一些新的结果：自映射f。g具有极限跟踪性当且仅当移位映射σ_f。σ_g具有极限跟踪性、自映射f。g具有弱Specification性当且仅当移位映射σ_f。σ_g具有弱Specification性，从而推广和改进了逆极限空间中的相应结果.更多还原

【Abstract】 According to the definition of limit shadowing property and weak specification property in the inverse limit space, it was introduced that the concept of limit shadowing property and weak specification property in the double inverse limit space and their dynamical properties were studied. The following new results were obtained: the self-mapping f.g had limit shadowing property if and only if the shift map σ_f.σ_g had limit shadowing property; the self-mapping f.g had weak specification property if and only if the shift map σ_f.σ_g had weak specification property. The corresponding results of the inverse limit space were generalized and improved.更多还原